Question

The graphs below show the relationship between the passage of time and distance traveled for four different vehicles Car Comparisons 180 160 140 120 Maserati 100 Distance (in meters) - % % % % % % % % % Porsche 80 Lexus 60 20 0 1 2 5 Time (in seconds) For which vehicle(s) is the distance traveled proportional to the time spent traveling. Explain and justify your answer

Answer 1

Fiat

1) Graphically speaking, proportional relationships are described by linear functions' graph, that has a linear coefficient = 0, i.e. passing through the origin point (0,0)

2) So let's focus on the vehicles that resemble a linear function behavior

Focusing on the Fiat car, we can see those points

Distance | Time

0 | 0

10 | 2

20 | 4

3) So assuming these are the right points, then the vehicle that travels proportionally is the FIAT. Maserati, Porsche looks like exponential functions and Lexus does not behave as a proportion.